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Simplifying 42N + 49 + -7 = -38 + 2N Reorder the terms: 49 + -7 + 42N = -38 + 2N Combine like terms: 49 + -7 = 42 42 + 42N = -38 + 2N Solving 42 + 42N = -38 + 2N Solving for variable 'N'. Move all terms containing N to the left, all other terms to the right. Add '-2N' to each side of the equation. 42 + 42N + -2N = -38 + 2N + -2N Combine like terms: 42N + -2N = 40N 42 + 40N = -38 + 2N + -2N Combine like terms: 2N + -2N = 0 42 + 40N = -38 + 0 42 + 40N = -38 Add '-42' to each side of the equation. 42 + -42 + 40N = -38 + -42 Combine like terms: 42 + -42 = 0 0 + 40N = -38 + -42 40N = -38 + -42 Combine like terms: -38 + -42 = -80 40N = -80 Divide each side by '40'. N = -2 Simplifying N = -2
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